Various mathematicians, including Churchhouse, Rodseth, Andrews, Gupta, Hirschhorn, and Sloane proved a number of arithmetic results on m-ary partition functions within the last 40 years. After sharing a brief history of this work, I will discuss work I completed more recently with Rodseth which generalizes these prior results. I will then share work completed within the last year which satisfied a recent request of Rodseth.